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From the Hamiltonian to the Lagrangean formalism for 1-reducible theories. The Freedman-Townsend model

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Constantinescu R., Ionescu C.
Open Physics
|
2006
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vol. 4
|
issue 4
511-521
EN
The paper presents a possible path to the sp(3) BRST Lagrangean formalism for a 1-reducible gauge field theory starting from the Hamiltonian one. This appears to be not at all a trivial attempt and will allow explanation of the structure of generators and the form of the master equations in the Lagrangean sp(3) theories. The Freedman-Townsend model, for which a Lagrangean (covariant) sp(3) theory is important, is presented.
2
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The Yang-Mills fields - from the gauge theory to the mechanical model

100%
Constantinescu R., Ionescu C.
Open Physics
|
2009
|
vol. 7
|
issue 4
711-720
EN
The paper presents some mechanical models of gauge theories, i.e. gauge fields transposed in a space with a finite number of degree of freedom. The main focus is on how a global symmetry as the BRST one could be transferred in this context. The mechanical Yang-Mills model modified by taking the ghost type variables into account will be considered as an example of nonlinear dynamical systems.
3
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Nonlinear self-adjointness and invariant solutions of a 2D Rossby wave equation

100%
Cimpoiasu R., Constantinescu R.
Open Physics
|
2014
|
vol. 12
|
issue 2
81-89
EN
The paper investigates the nonlinear self-adjointness of the nonlinear inviscid barotropic nondivergent vorticity equation in a beta-plane. It is a particular form of Rossby equation which does not possess variational structure and it is studied using a recently method developed by Ibragimov. The conservation laws associated with the infinite-dimensional symmetry Lie algebra models are constructed and analyzed. Based on this Lie algebra, some classes of similarity invariant solutions with nonconstant linear and nonlinear shears are obtained. It is also shown how one of the conservation laws generates a particular wave solution of this equation.
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